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3135545440 = 25519597159
BaseRepresentation
bin1011101011100100…
…1010000001100000
322002112002012201121
42322321022001200
522410144423230
61235045342024
7140462460616
oct27271120140
98075065647
103135545440
111369a2a775
12736107914
133ac7c2141
1421a60b6b6
1513541a77a
hexbae4a060

3135545440 has 24 divisors (see below), whose sum is σ = 7407726480. Its totient is φ = 1254218112.

The previous prime is 3135545431. The next prime is 3135545461. The reversal of 3135545440 is 445455313.

It is a junction number, because it is equal to n+sod(n) for n = 3135545396 and 3135545405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9798420 + ... + 9798739.

It is an arithmetic number, because the mean of its divisors is an integer number (308655270).

Almost surely, 23135545440 is an apocalyptic number.

It is an amenable number.

3135545440 is an abundant number, since it is smaller than the sum of its proper divisors (4272181040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3135545440 is a wasteful number, since it uses less digits than its factorization.

3135545440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19597174 (or 19597166 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 34.

The square root of 3135545440 is about 55995.9412814893. The cubic root of 3135545440 is about 1463.6515589081.

The spelling of 3135545440 in words is "three billion, one hundred thirty-five million, five hundred forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 19597159 39194318 78388636 97985795 156777272 195971590 313554544 391943180 627109088 783886360 1567772720 3135545440